The Quadratic Map

Stan Wagon ()
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Stan Wagon: Macalester College, Department of Mathematics and Computer Science

Chapter 7 in Mathematica in Action, 2010, pp 179-208 from Springer

Abstract: Abstract There are several ways to examine the dynamics of the quadratic map defined by f r (x) = rx(1−x). The image above is from a demonstration that shows the bifurcation diagram for f r , while allowing the user to move a slider (the red line) which causes the corresponding cobweb plot to appear as well. The example shown has r set to 3.84, for which the limiting behavior is a 3-cycle.

Keywords: Lyapunov Exponent; Bifurcation Diagram; Periodic Point; Machine Precision; Symbolic Expression (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1007/978-0-387-75477-2_8

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